Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, e
from proveit.numbers import Add, Neg, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one

# build up the expression from sub-expressions
expr = ExprTuple(subtract(Neg(one), e), Add(subtract(_two_pow__t_minus_one, two), Add(Neg(_two_pow__t_minus_one), one, Neg(e))))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(-1 - e, \left(2^{t - 1} - 2\right) + \left(-2^{t - 1} + 1 - e\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 21 operands: 3
2	Operation	operator: 21 operands: 4
3	ExprTuple	24, 11
4	ExprTuple	5, 6
5	Operation	operator: 21 operands: 7
6	Operation	operator: 21 operands: 8
7	ExprTuple	15, 9
8	ExprTuple	10, 27, 11
9	Operation	operator: 25 operand: 19
10	Operation	operator: 25 operand: 15
11	Operation	operator: 25 operand: 16
12	ExprTuple	19
13	ExprTuple	15
14	ExprTuple	16
15	Operation	operator: 17 operands: 18
16	Variable
17	Literal
18	ExprTuple	19, 20
19	Literal
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Literal
24	Operation	operator: 25 operand: 27
25	Literal
26	ExprTuple	27
27	Literal